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Finding the Third Proportional to 667,974 and 1,433,100

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Solution

The third proportional to 667,974 and 1,433,100 is: 3,074,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,974 : 1,433,100 = 1,433,100 : x
  2. Step 2: Convert to fraction form
    667,974/1,433,100 = 1,433,100/x
  3. Step 3: Cross multiply
    667,974x = 1,433,100 × 1,433,100
  4. Step 4: Simplify right side
    667,974x = 2,053,775,610,000
  5. Step 5: Solve for x
    x = 2,053,775,610,000/667,974
  6. Step 6: Final answer
    x = 3,074,634.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.